My Math Forum Equilibrium Of Forces

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 December 8th, 2018, 01:54 PM #1 Member   Joined: Aug 2018 From: Nigeria Posts: 73 Thanks: 2 Equilibrium Of Forces Help me on this question; I don't get the answer and I keep obtaining 92cm. Maybe I don't draw the diagram well or something. A uniform horizontal beam AB of mass 15kg and length 2m rest on a fulcrum at F distance x from A. Masses of 2kg, 3kg, 4kg and 5kg are hung at C, D, G and H, which are 24cm, 60cm, 120cm and 150cm from A respectively. Find the value of x. Last edited by skipjack; December 9th, 2018 at 02:09 AM.
 December 8th, 2018, 02:06 PM #2 Global Moderator   Joined: May 2007 Posts: 6,684 Thanks: 659 Show your calculation!
 December 9th, 2018, 01:00 AM #3 Member   Joined: Aug 2018 From: Nigeria Posts: 73 Thanks: 2 How will I show calculation without diagram? Last edited by skipjack; December 9th, 2018 at 02:09 AM.
 December 9th, 2018, 02:10 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,298 Thanks: 1971 You should get x = 102cm regardless of your diagram. Check your arithmetic.
 December 9th, 2018, 06:26 AM #5 Member   Joined: Aug 2018 From: Nigeria Posts: 73 Thanks: 2 Yes sir,your answer is absolutely correct. Teach me how to solve sir
 December 9th, 2018, 07:42 AM #6 Math Team   Joined: Jul 2011 From: Texas Posts: 2,818 Thanks: 1462 translational equilibrium in the vertical direction ... $\Sigma F_y = 0 \implies F_f - (2g+3g+4g+5g+15g) = 0$, where $F_f$ is the upward force of the fulcrum on the beam. rotational equilibrium about point A ... $\Sigma \tau_A = 0 \implies F_f \cdot x - (2g \cdot 24 +3g \cdot 60 +4g \cdot 120 +5g \cdot 150 +15g \cdot 100) = 0$
 December 9th, 2018, 07:55 AM #7 Member   Joined: Aug 2018 From: Nigeria Posts: 73 Thanks: 2 I don't understand
December 9th, 2018, 08:51 AM   #8
Math Team

Joined: Jul 2011
From: Texas

Posts: 2,818
Thanks: 1462

Quote:
 Originally Posted by Harmeed I don't understand
Then you are ill-prepared to complete such a problem. I recommend you research the conditions for static equilibrium. Here's a link where you can start ...

Static Equilibrium

 December 9th, 2018, 10:08 AM #9 Member   Joined: Aug 2018 From: Nigeria Posts: 73 Thanks: 2 Thank you very much sir. I'll really make use of this. Can I have a link of some of the important topics in physics like this? I really need it, sir. Last edited by skipjack; December 9th, 2018 at 10:15 PM.
 December 12th, 2018, 01:01 AM #10 Global Moderator   Joined: Dec 2006 Posts: 20,298 Thanks: 1971 Problems about objects in contact with each other tend to be covered fairly well at an elementary level in school textbooks whose titles don't mention physics. For the type of equilibrium problem posted here, I suggest reading this short article. Thanks from topsquark

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